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Finding the Fourth Proportional to 273,780.80, 410,978.40 and 211,726.40

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Solution

The fourth proportional to 273,780.80, 410,978.40 and 211,726.40 is: 317,827.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,780.80 : 410,978.40 = 211,726.40 : x
  2. Step 2: Convert to fraction form
    273,780.80/410,978.40 = 211,726.40/x
  3. Step 3: Cross multiply
    273,780.80x = 410,978.40 × 211,726.40
  4. Step 4: Simplify right side
    273,780.80x = 87,014,977,109.76
  5. Step 5: Solve for x
    x = 87,014,977,109.76/273,780.80
  6. Step 6: Final answer
    x = 317,827.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.